$7\mathrm{.}13$ The enzyme catalyzed reaction:

$E+SP+E$

The rate of formation $P$ is observed in the lab as shown in Fig. P$7\mathrm{.}12$ with an enzyme loading of $E_0=50$ Units$/$L$.$ In an

industrial application, it is decided that enzyme loading can be raised to $75$ Units$/$L$.$ This reaction is to be carried out

in a fluidized CSTR with an immobilized enzyme system. The volumetric flow rate is $380\frac{L}{h}$ and the feed concen$-$

tration of the substrate is $60$mmo$\frac{l}{L}.$ Assume that there is no loss of the enzyme to the effluent and the effectiveness

factor of the immobilized enzymes is $100\%,$ that is$,$ no impact of immobilization on the enzyme on catalytic activity.

Determine the conversion of substrate if the reactor has a working volume of $1000L.$ FIGURE P$7.12$